45301 has 4 divisors (see below), whose sum is σ = 45900. Its totient is φ = 44704.

The previous prime is 45293. The next prime is 45307. The reversal of 45301 is 10354.

45301 = 150² + 151².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 22801 + 22500 = 151^2 + 150^2 .

It is a cyclic number.

It is not a de Polignac number, because 45301 - 2³ = 45293 is a prime.

It is a Duffinian number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45307) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166 + ... + 343.

It is an arithmetic number, because the mean of its divisors is an integer number (11475).

2⁴⁵³⁰¹ is an apocalyptic number.

45301 is the 151-st centered square number.

It is an amenable number.

45301 is a deficient number, since it is larger than the sum of its proper divisors (599).

45301 is an equidigital number, since it uses as much as digits as its factorization.

45301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598.

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 45301 is about 212.8403157299. The cubic root of 45301 is about 35.6480624241.

Adding to 45301 its reverse (10354), we get a palindrome (55655).

The spelling of 45301 in words is "forty-five thousand, three hundred one".